{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Ticks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib's default tick locators and formatters are designed to be generally sufficient in many common situations, but are in no way optimal for every plot. This section will give several examples of adjusting the tick locations and formatting for the particular plot type you're interested in.\n",
    "\n",
    "Before we go into examples, it will be best for us to understand further the object hierarchy of Matplotlib plots.\n",
    "Matplotlib aims to have a Python object representing everything that appears on the plot: for example, recall that the ``figure`` is the bounding box within which plot elements appear.\n",
    "Each Matplotlib object can also act as a container of sub-objects: for example, each ``figure`` can contain one or more ``axes`` objects, each of which in turn contain other objects representing plot contents.\n",
    "\n",
    "The tick marks are no exception. Each ``axes`` has attributes ``xaxis`` and ``yaxis``, which in turn have attributes that contain all the properties of the lines, ticks, and labels that make up the axes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Major and Minor Ticks\n",
    "\n",
    "Within each axis, there is the concept of a *major* tick mark, and a *minor* tick mark. As the names would imply, major ticks are usually bigger or more pronounced, while minor ticks are usually smaller. By default, Matplotlib rarely makes use of minor ticks, but one place you can see them is within logarithmic plots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')\n",
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEGCAYAAACJnEVTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njmcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21881e7470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(xscale='log', yscale='log')\n",
    "ax.grid();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see here that each major tick shows a large tickmark and a label, while each minor tick shows a smaller tickmark with no label.\n",
    "\n",
    "These tick properties—locations and labels—that is, can be customized by setting the ``formatter`` and ``locator`` objects of each axis. Let's examine these for the x axis of the just shown plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<matplotlib.ticker.LogLocator object at 0x7f215e6b11d0>\n",
      "<matplotlib.ticker.LogLocator object at 0x7f216070b9b0>\n"
     ]
    }
   ],
   "source": [
    "print(ax.xaxis.get_major_locator())\n",
    "print(ax.xaxis.get_minor_locator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<matplotlib.ticker.LogFormatterSciNotation object at 0x7f21606fccf8>\n",
      "<matplotlib.ticker.LogFormatterSciNotation object at 0x7f215e6a3080>\n"
     ]
    }
   ],
   "source": [
    "print(ax.xaxis.get_major_formatter())\n",
    "print(ax.xaxis.get_minor_formatter())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that both major and minor tick labels have their locations specified by a ``LogLocator`` (which makes sense for a logarithmic plot). Minor ticks, though, have their labels formatted by a ``NullFormatter``: this says that no labels will be shown.\n",
    "\n",
    "We'll now show a few examples of setting these locators and formatters for various plots."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hiding Ticks or Labels\n",
    "\n",
    "Perhaps the most common tick/label formatting operation is the act of hiding ticks or labels.\n",
    "This can be done using ``plt.NullLocator()`` and ``plt.NullFormatter()``, as shown here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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k+7qqpGvzBtS1FhhRIlxeps9JjWGiSJoJqSgT30r3LW8B7rknW4HZshdeeYX8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\nCOkKBAKBRwjpCgQCgUf8H1WjtZf+oIHsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f215e378dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes()\n",
    "ax.plot(np.random.rand(50))\n",
    "\n",
    "ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "ax.xaxis.set_major_formatter(plt.NullFormatter())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that we've removed the labels (but kept the ticks/gridlines) from the x axis, and removed the ticks (and thus the labels as well) from the y axis.\n",
    "Having no ticks at all can be useful in many situations—for example, when you want to show a grid of images.\n",
    "For instance, consider the following figure, which includes images of different faces, an example often used in supervised machine learning problems (see, for example, [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb)):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FOVWP7n7hLnSvMbQDilGJdtlSktxoItmCKq5EkhzAwHC2XOJ8ucLynBDJzddu\nwmqDB2+/hr3RCLujGscfP0ff9OjWPU5PH+HWXXJc68Uan7x1F1/+0gM8ODyElJSDWXGW+h4TJ0sI\n8IxR6iRUUK0mdHby6ARnT87QrlpIJeGcxVe+8ifwX//l/xx1vYP9w9t48PUH+MovfQHPbu7ikx9+\nAmctuBAYz0a4+eAWzGCwuiKkObQDXJaj0xqLtqWqcZ5jVBS4f3CAH773EVQm8Wu//DVYTQ7m9W+8\njr/87/47+Ff//L+Hvdt7+FO/9W38/T96B7/3134X7b/c4taDWzh5dAJrDZF4ucB2X+Y/sVEaTWvI\nTCEPYRdAxKoff/gYP/nOT8AYw1d//au4s7+H/3M2wnd+5zt4/zvvYjY7xHR/isNXDlBNKjx+/zEh\nntMrjGYjLJoW46pAleWpFF/keTqkMeb33uPy+SVUqCBN96coxiV2Q5hz/PExdndv4df/3G/AGYfD\nVw7wvT94Fx9+50MwxrB/Zz/0QAki4XEySnt7twGE1hdGhM9Oa/hhwD/66CP8+PsP4b3Hg68/QLdq\nsXu4gz/zb/4W/pv/5K/il7/9pzC0A269fgt33rwTutk7HNw7gO412kWDvVu7mN3axdXJFX7ynMrX\no4LyMOu+h3EWu/UI5ajGg8NDHD87wyc/fISv/fNfxa1bB5juT/H0x09wdX6BGzdew9u/8jW88var\nODiY4Zd+45/F9//we3j83iPs39lH0yzI2Gwxa+PGdpbCPy6J+q+EwKrtcPzRMdpVi9FsjLfevo83\nb96E1RZ//L//MZTKkec5Dl49xJ0370APBvu393D69IyMXFWi1warroMK1UTGgFxIrLzHetVQri5U\nCNeLNQ5fvYH9O3uUexyXUPkNvP7N13H6+BSvv/5N/Opv/2oy5BEtXjy/xJ03K9Q7I1qjQYcK2iZR\nuh3+OGeI89b0eP7sE3T9Gm99+Zt48PUHqKc1jj85wf37X8MH3/0hynKMW/cJ5Q7tgI/efQjJqYLK\nJYWfjFFrD+ccl6tVqpqeL1do1i1kJsng5wpZmWEIoWud53jrm2+iWbSYn83x9W/9Gr79Z/85FHWB\n08enePL+Y1I6+MYb+KX79yktojL00Ne674mDRv9tNPGVlhdXmJ/O0a07jHcJndx+/RbOnp7j8Y8e\npXm/9eAmXvvya1TNsxZ7t3bRt33ib01HFearhnJUAYUCREMBkFCStga7oxEO7+zjvX/0Aa5efwV3\nX7+Nj38T5AkPAAAgAElEQVTwMZ7++CneeONb+OZvfhO7N3dR5zn2bu3h8N4NfPKDTzDdn6YQjzh/\nsVfznzLRXdQFxaaKUFKRZXhyfo5m2WCyNwkJNYsv3LqFgz/zL+Lk0QlWl1NU4xIH9w4w9IRSDu7s\no+8GrK9WuDq5gpAi5ap6Tf1TuyFsYoxhNV+jXbWh7NiHbniPdtVhcbbA9GCKN/6ZN/H4R48AALs3\ndyEzSQbk5gxSCVw8v8Ts5i7KUQkuOcxA3J7ZzRmm04N0eL33aPoBy67H1XqN4+NzVNM6IAyJ5eUK\nJ0/PsJo0+Maf/CaFI86hqAsKE1Yd1os1vHVQmYTan8A5j/XViiod3YCL9Ro2xOud1jDOYlpWGIzB\nTlXhxu19FFWBj3/wCbgUuPPmHQxdD5kpHNy+iX/hz/4JKCHw5OkxpBK498VXqcoX+S7OhopUlAEJ\nSgaKEvcikFd3Arqpd+pU5o8hya/+8pfRtz1OHp1AZhL7t/cgc4XlxRLrRZNKvYMxaNeEHkqlgtKD\nTHOpB5OqPTEnJkuJ86MLZEWGbt3jxv4MX/m1r+LJ+0+wc2OGw1cOoXKFy+cXGO+OYQaTqqnVuIS1\nsRfSQAgO3Q/JEEfjpFSO0WgXQgk0zQKvv/k17N3egxkooXz3rbsp37NzuINqUmFoBzRLOpy619g5\n3IHKFLKAapWUKJXCud/0/PUDkTMjN0n3hOrPn18Q6dRavHnzJtRvSLzz97+fQjqZSezf3YfKJIZe\n49GPn2BW13hlb2/TE2ctZDgXeZVvWO7KQvdUfSsnFappyAVNa5TjCm98a4a923vggqNvexRVAWst\nnjw7QTNfU0FEMNTTGlwwXF4t0SwJZZWjArkMuUGtYZ3D+WqV9kqVZfjSndt4/ugYf/wPv4+9O/u4\n88ZtPP/4GN/+k7+Fg3sHuLk7wwdHR1heLLB/dx9ZrpAV6hp6f1GC+3MbpXhwBWeJADhoA6logod2\nwNHDI/xtUMLr4N4B9m7vBaq/SJZysjdB3/YYeo3lxRKj2Qh60GjYprUgMrsnZYFyVBI5LZTEJ3sT\n5FWOZtGgW7Wp9WB2cxd5leP82RlGO2MYY1BNanApUil0vDtO3tU7j6zM8NqX7wN/A4li32uDJrSS\njGcjCMYxKgrKH+zMcLJYoO0oFKrGJYZeY35yhXWviemdSfhQaic47dAsW+SBKR0rLpF81xta/C6U\n13frGrffuI3zZ+c4fXwKlSsc3DvAaDaGzCSePj5OVTLvgXJU4uDuASX4JS2+MZo4GZ9ePxEad7f4\nWKOdGs56cMnx/ONj/B9NB2sdRrMRhOCJo9TM19CDwWg2wng2wuJsQYcvhKmbFh2PQm363mKVrW97\nVOMSk4MpFQnaHvPTOThnsNZhvDtGVmaYn84hM0k8KsZQTau0mZng4B7XPk8E7owxQ9ijHEoVqCcV\n6mmNg4N7yMoMVlsszhapM+HVt1+lPTImI5GqxGH/FTWh2UwplEGXiLh0isI3xjCpKwzdgGa+hlAi\n0U2YoLL42WqFIZBh73/lNVKmkNQhUOQZsjKD7jS6dYenJ2cYFwWmVXWNsAhQX2cZFCE8iGwaDU+c\nZ6GIoe+tw41XDpErhV5rzM/mWF2uArWCOGdRR0tmCn3bU5qhyhN3arsRu9Ma86bB/niETmvsjyc4\nvHeID7/3EGdPzlDUOV77ymuwmvhJD+dPofsBzpKczvRgisnuBNWkgjX6/1H/2+fiKcnQVzZERuug\nyUKPSlRFTnyigBj2bu+l39W9vmbY+GAgpU/yDCwYBO82bSGrriPae0iqZ0WG1eUyxL7UeuA90K37\nwMod08YuMoz3yMO2yxbVpIIedPoczhhUpohtPjgc3CWkFLv0h8AfAYBRXkAE6kKswjDGsMo7iNQr\nBxSjEs46Yk0bEiZjnFFXesjhRIGxjaTKRiZk3rao8xzrvocUAnu3d3Hy6ARdRCGjEtWkxuzGDEWd\no1m2yBqS5ijqHNWkhMwUJpP9wKnS4W9va1rR/3lHHJnL9RrLpkURiKaTuoLe38HVBZHhmkUDzlmi\nODjrIJXEaFqjmtRYXa3RzNcoRmXinkWW/qQkbgzinHYDhnaAd6TGMNmb4OLoAsuLJcxAPJnYSsIF\nw/RgSmV6tkReEYqLnB8glLDD/EVn1/dt2l9SSuR1gWpS4cbdW8S1KhSyklpxwBjKSZG6ExLBsBsS\ndysL9AkVPssGLh0VZhwAakeRB7u4KDI08zVkrlBUBcbVpo1EcGo4v7m/m9o4Yu50KIq054pQveTB\n8QOb0KZUCrlSKYSzEw9VBGkWxqiDIHwvKWh4IrGO9ybQ3QBrN7wsayzlh8scqsgo8lEqNaFHOZoh\ntM9cNQ1mdY1F21L7y3SKR5lCu2rBJUc9qbFzuIOdUQ0PSth36z7pr9V5joO7++G53AvDtjg+F08p\nWtB136MZ+nRgJlWJw8kEo6LAvG1xulhg2bQJoUQ+v7MulX/LCXFu8op4NwARM421GAJ01EE/qRxX\n0GHzdesOfTegHJXp0ElF5LGiLlBPq9RMKaVI/CbOKbmdZBskh29d2vRxQQCk1pdtlcTY7xQP32xU\nJ6Z2VmQwhtpfvKXWjMjuVoVCXubkGSUpBEZagAmHeN5Qm8qibWGdw2R3gsn+BFZbmvfAqp5OR9it\nayzyHGfnkYnOEgp76xtfxne/+3dTP9hPK7nGxuZhGOAchZm5VNipKkzKEhd1heP5IqGLbt2hXbWJ\nD8alwPJiSVwsQQx5Z4m4KoTAMGhK1DoHPZjkyZngWC/WuDy+oo26UxMHKrDyszJHOSpI/bMeYZ41\n1OhpwxpnMrWqp2qU3yhAUMWRQruqmkIF/lAxLunzJlVwDFmiAAgliJDo6HOIS6fgHDmYUilUeZ6U\nTz1IuE4HrlrUNLq9N8OqrmCdw6goUIXu+CjN0mtCfe0wIJcSOvQwVoEHlAcNpTyQdp0nEb84ohhe\nrATmUlIjttZpr8bm5W2BQSk4ek1Vw3YYsKy7ZMhGJam+RokawTmaYUhKDtsNvXTeh8Q9GhUFdm7s\nwIaOAOccdQI4hyrLIBjpitXB4QlOkVOWl2BgUNmGf/Vzbc6LfoCFCY7QnyA/5YNItsKA9z0JsQkR\nyFgiEQn1QN47Kj/mZUbaRkWWFBpJktPhdLlMeQnBGVShAj+HpFNiG0RMeie2ryby5gpUVuehD84H\nHk9cMME5hCCDFUurAG1wxTlElqWkd69NYiULku1LqElbElqL7G86CKQvZYwhj50R/FdSpt+LEhix\nh6g3Bq3WicmeK4X923s4P7qACM22AHB5ucCqaVPIVLIyEUuddTh85RBCxFaSTwl6BfIrcN1YOesh\nc45c0QYtFHlOUxfo1l1qDbLWQhWKKAveI8tVUHWkvZHWKzRkerslCBbQRjWusLxYJnZ/LDzkwdip\nPEMVNiznHCrPaOMHIxTZ3DF02248rutJMlDj8S54kCbJckUs8VGZPi/OQTRcnDMYToYVMBCgvsU6\nzzEpy6AxRIlnEUK6WB0z1kIwjr3RKDXujov8WqvGvGk2nyklVHh2JUjeI4ZmkQbAvAf3mz5QYy3K\nIPAnOKUTIprPJPH4IhGZM6TmWjKcGuu+R5ll2B2NkhZXlGLRgaUuAtcszi8Q5azpuVddh73RCM57\njIoCd24dJJRajQmpr9sOxlpUWZbac/qgGVZPRyjyGl2/hg7h74vG58opAaHxkvMk9OYd5RGWbYur\nZr3R+bUOXHJkTMFnVH521qOaVMnrZkpeK4/HSY+TFJmuKlMoRiWw7hJzm5o5kXqZ6OA4tMuGZG8L\ndQ3mCxEFxTYaQNsTwxmDD0YiGgzByAvFVpgYckV5lE7r9NyjIk9SwMa51BcWGeKR1RvFuBIVYauC\nNC7L5JVj31QMN6pxlTxSbM2IrHVoA6MJngOUX0lxe3imqOzw6c1grcVgLJqQMPae0EAjRApzVa7A\nBpaMmsxUcDYWQpEqYpJAGUhDSmYKUg3QPTGwzWBSv1nUdCKGvwqpAUKEvdaJ4c45gxfXGzhjy8T2\nvwBwePgavLcQQmFndz/IlDhkBRE++dae5ZwnhYuYAwR6tEub8i55lW8pMPJryo15QNHdFqeIEtQ8\ntIkgydkIxjApS0pcB4cU1zxqfXPOwby/xo7eHsY5atBlYkuW2CeElImNAeQMSZqEMeqhi2mIKLcb\nuxKo+ktz2AwDAQAu03x7v9GPj86TM4ZcSuyNR1jemGG9bMAER10W6Xmj8qUNrWS9obXP8gKr9dUL\nSZNxvNAo0SbYME45Y1tCWQ5t1FgJSEpIoq1bQ+XgCP1VRj108fKA+LcB6vshpjPBUxbgouQcWa62\nWjoymC2KfCzzyyxLlTxvHcBJOWAb+gK4rhawtQFix35MMrrwTrFPL2odbw/GqB1ABvibSYmaXxc6\nS4lLttEnJ9UDlnqdkrxJhOg1JfmJcOhgtEmIKXbVb1ADoY7TJ6dU4ZIZft6IIdy2VnVvTJBbDcqL\ngfXNJYdim94qQmEAY0HgLpBpY68dC42qXBBbW8hAemw5JT/LjTeOrREAqF1CSTqAZrM+hL4ixWGD\nkqJhi/nK3d2bFHZlBarxJrSPiClynAAk4xgJiSwk221oeFV5UHeoSpThUgHrHPzWHrIhVLHepdI9\ngGSIYje9yAjFIIRbkfYSc4vRQKTqlN+0IMV2FG1IvE0wm5xjzE/FPRn3UBaq1hG950qmCwts+F3q\nt9Mbo8s55BZSI4UCkcLGaIDHbqMMW6gM04rUL4bAt9sWdKR/6AzFRt7oKKME9YvG5xJ5iwc+Ngxy\nt/FUPuSNYnyqrU2bC5wh25LuiPHqdpafXmRLftWTfKxzDk5K2DJD1irKU0iBIleBTBYQQPB+zgXN\n7rDI8YYHtbWhjLXwQR5juzUhXjwAUL9PlP3cVvmToXVCG73pa2KbOD6JtvuNpGsVwkGA8nFRK0oG\noXYXjGH0pM571FWJfkT0fM45lZudo9aJMN/bjZUqV7g8IsZsXPwo/A6E5uhAvHMhdIDY3NQyGJPy\naib2vgV9a8sshRR8o+TJAGTqevNzHOu+T3NKMqgCRZ1jCBWgWKmKSDu+T0zCEq9po/2TDq1gCfFZ\nQ7msGI6tV1dgXECpHHowUINJ4b0QIlEmGN/8PYAKONZQk6s1NjQFF5jUJUZ5gUyqtMeVECmFEVFz\n1F6KxsVtGRXjHJp+gBSEjraVLzp7/faTT5+JbTTRDxpDZtLv13mOIaCqMiKyTznMNqhgprnFRmhu\nyxekz6TbRzbIz3ubzrJxFrWnIkGZ5eCM+j6pz01gWpZJoTUO2nfhYoJwPrmQQZqaf6YP7qeNFyOl\nLXfAGUvZ+rhAn1YhTD/LqQwdkVG0qACuXTGzfdtF4mQE5ERwUGEIvUxRIwdbqCi+Y9RWinA9GoZt\ngEMoyCdFAwDJmscRw7K4SeJ7xWuiOOeolEo5s5gviLpBMEiCdoIzDCYkG7sOKrxTJgSaYUgyqlmA\nwDZstrwuIAYDKTeVPnAGJTfd/vEwc87RNKu0AYGwMbZyS1F+N1I6IjLiwSCbLQMVVSBi02acc8ZY\nMm4y2yCobeRmnEv7RQRjQCFf/JoAF1sINTiHoRtSItZZ6oyXaoPEGOUOrr1L1Fs/ev4wqAO0qOsp\nynGZDikPxoxlLOU6Y4JWCJ4MalZkGO+OqX9rNL6WL4xqqXF9tSXqCGMMu6M6Sc5EhEQ3+4R53Sqi\nRDQec0JR9ZGDLmr4aWh86AasFTXzxjxWnIOou2WshQ6GMmp2x+vKgOjw456O8tUOnXe4WK8SgVJK\nkZLkuVQJeSX1Vc7hgzKECGmJeK6tk9f0lrb1u7f3yecxSMDnMEpxQ8X7sQTbXMcTe9c2Jc2Qx1B+\nC27SnWhl6C+7bBpcNaRBxAWjRlbnUVYFyixLhomSjHSIrXUYz0ZwdgshMQaRq1TpkXKj2Bhhcjx0\n27edkJrfBumVWYZcSThPKpReCAwhaR8VBbdZtmXQP47ewbqNIP42HG+1Rrvucblu6ColE/IWoRE5\nojiqvtAtKvGmExUuObCGurtJT4enu8kAhOQsvc9yeRE65H+2up8P8X4WGNhxbUjfWSeVw4hiosFL\n4UWgOjBGtIztOaWkMVEorHMbNQLB4CwSqonh0zbPxloLdGRAmKAQKrbDxMEYgwskXeccvAP6IKFx\ncXEUfobjxo3XyJhG5G2D8eUMeUjcM87BHeXmnCO+U1ELYkfvzSjkAjknQrYbFUqiiWTIVY9520BJ\niUlR0DzFiwCsTTnEiFJYSAVsXyoR1y6Kz7mfcmitNhReBqcYBQ9jCNiGajV9DlEL8uAMt3Xdo8yt\nD3kr54HLdYPTs6ukyRX3eaEqyLA+OadqWpVnyUlHQ9S6oPntfVJFiDzD7TwaC2HgZ5zmzxmf44ol\nSnTmSqLM8mtaPZ65aw8b2azXMvnh4EXdmJMrInVxSfkiguf8mgyss5bum/IUkhltyLAViiQ+QxVO\nME6ExbAYyaBt5Uw2chF0g0VUIYzCaRSKbbqXDQ+hjLXkJQSH8jJoICHF4+meO0a5hZi0995jFeRO\nFm2LftBBeoLKzRutbZIZnVZVSArq5J0ACg+MpA3JQgkXQJKWjcajXTaYz08TckprE/57vDtOfKKY\nII0BreQCA9t482jcnfPgnm4EYWGDRh32bQTpvYeXmwsb6jwn2kFJ8zAoCcAgC8Zy+zYY+tsiydvQ\nVUgh7JIihejRIMU2C2ccGN+E/FlWpHc1hsQHvSMlUC4oZEyKpHGvhupv3/SBo0Q5T8k39Jd4SWN8\nV4DCUxvCF2Md5k2DMpT141VDcQ9QSiNcX4SNLHDM+0SjYWy4IslvUglpDSPCDLnKbtAUumUZoW7n\nYLdSH/S3iR+1LZQY/9s4h95oLNsWF8sVTK+DDJFMKZp4o0tEZd7TBZqaUX7Je48qz7HsumtVu016\nZqMea6wl0cehhXMWzv2/1JAbESUDg+Ic8RakPuRWVCjrJ74E2wj6xwpWHvhIl+s1mmUDPWjkIgML\neQcpBXaqDYM3luIjUhntkIyIKkvUbKPLDSBxLuJzxhtBnPfpdtm4sYy2gQmOxH+K34vwWQVYOoSL\nC7ZveUhcH2sTrI9CZ6u+o8WzJrXN5IqMwGAMjLDYqat0hxvpKIl0IWUXWiFKpTBnpK80rcoU/tFt\nGfSZGhvy4OmTMywW5wSd7YasGsfRh0eY3ZylAx4R5GBt8moxD8KCERKCQmMewh0VtKdnoxHmTZMa\nVIHrF5Kmlg/4JBIXQ6TRzojeux/oii6aUEQuUzRIAB1Gxkm2I4aNROQMio9CoByTuFuWlQFxGWjd\nk2xxSNgzTvuLqCmGJGDC5REAaZRfHl8iyxV2b+1h3feo8xw7VRUEBgNHLSDjGKYBhLAv1+sUlkdd\nKaFUqJp5ZKF6a1y4cDSg7/i1QmVhT9GsZZwD4BjiLTbWYegG6HCpAhPXL8SQwZlzxtMFoJFi4/xG\nyD8apE4P6AaNi/UqyAoRrcZai0Jm0MYGIi9VE5UkZ3w4oQb2iNKjc9POYVyQgU68tICCYivV0A4Y\nhg7eO2gdc44/3zh9juobUkI2JnJJUkRdS/xRlp8uIYyVNMljWdHD2IESod4niVypNj8TPcSgdbqR\nhDFCOHEhdBDXip83WFrsiIy2Y9ntCwCGEJa4YJiMtteaOmOVLJYzKYGcJ88QvWYMabYrJ228CMG6\nJJjeh/J4JiVyiSTatVNV6b8ZI1G3g8kY677HvG1TQYAzhkXTYlKWYJIlOBznetDU/6WqDE8+eIL1\neo4sy6/B4jifv/M//G/47b/45+BnI6y6DpOy3BimUHmLc2i9C4bEw0TPK3jSvvLeJ5kVVShIKVN+\nK+Z4qIQu4DgZJr/uqJP+3iGF+kGpk0QDKVEvlUy3dnDOYAHAbtBQREgx+f/0g6f4yffeBwCUJRm7\nrluj69ZBBZQMF3w0Zu5aoltlVCzR/QB4j6vTOY4+fJboAO8fHSX+T9pPge6RBanY6KD6IGEcq8ZK\nCGTYFG289+k6MAaWrmICZOrzBDZo7NPXGBFSISfn4aFCvieTgqq8IWSMuSrLGJYdFVUKlaWbUpph\ngA68uMWaLvwQSiYJW4B07dsgWxxvuTkdV8gUKUIYZyG5wLrvk2PaH41gbJ/2aBbkrqMm2uXJFYah\n3SS52We5dJ8enwspxZg63t7BwK5pTQN0KJ3xqQQf0Q7CIY8Tl5ckwhXvpadbQTTqPEeZ5Ri0TreI\nxNYWrU0yBiol4EhEf3Pzrri2wMw7yLBonDkMzgHuerk5Puen+RORXZvug/PEtHWepbvhtkPUwRgs\nu26TfA7cKCk4dusRCqUwBC8fy7qzug4U/g6dpn64narC08tLNOsWQ6+xqivMRiPEm1OAcAutIETD\nOMOH33sPSQqCbSqK0Twt5me4PLnC7u29tCYpxJUSMEh5QtpMJrG0hQysYUYGa7laYXmxpDmxFr7I\nCH16EhGLjHzGWKAWED3ADBqrZYPd2STNsQm3dKhsc4OGUCERHW/fCEg65l0ineDd/+sf46OP3qG1\ntpsk7mJxhoPuHrp1RwnvkNR21kJwGXhL4c5BkLa8DXrWP/yjHwHYtLWMigKCMVw1Dc5XKyzOFqh3\narx6eIBpuGar17Rvt9FL5BttX0VExkqmvSn55i68uMe2K9Lbt/DQXDt4Qfmx+LMm5BnjJZJRoYDm\nguYjGjptTTIiG+WGJmmv51WOIlNYNtRY3gXxQu+ph/EDJXH/4AD74zEE53h6cYFmGGCdS+iy1XqD\nxjlPt/hePDunZ+LbV43/U0qXRGEok0IhliZyu2+GYVORozu1NoaJsc2FirOdMXYq6j421qLKMwCk\nFlllGZYhQdbpAb0OKoacUzuHYCisSrmNKsuTUYk0gFgh2aYsxGcAkMKJWCreJNbpHti4OXLBYUKS\nkYwq6RZHjxSNU7zhQlvKe+VKotcGV0silO6NxmCM4ePTU5yeXqKeVqgyChG+ePsWGKNkM21Ih48f\nHwUagMeia5NRKkLFL94IQqqaSzz86Hu02a0FsMkPRQO9Wl9hcbZIyec4L0nKNLKUw3v1QR6EBecT\nQ7te04UGsXxPHCKkMAtACne1JTUGxohZXYxKDG0POyW04QoPbqjnLPKJ4mYWkqc8SVo/uyG9zs8X\nODn5JH0/ivUxxrFezzGfn2K33Qv9fuSIrHGQ2aa5V4YSf1EVpEg5X+HZkw/R/92Wbuf5+gPs701h\nrMPZ6SWFf/2A44+WuDq5wp1Xb0IKjlXXE1s6hDPb+ynuI6o+b6RQIiqPa0CpDwbrcM04AUgXdsR1\nj6Hj9q29LhgqzygPRtED/b62Bs4DXWgCj6mJ8bjGaSYptxvoH2fnczx+73GquvZNBy4EbpY5mnWL\n+aiBcRYfPj/ByaMT7N7eBRy1StV5nqIMuo2XPr8dBpw+Pg0V6s/HUQI+Z5tJvBDRbcWM1J4gU4Iv\nooDEO4GD2WITx7Dm5nQKKTh+ckQaQ3f3dnFjOsWq6zBvmmR9z87nWM/XuHnvEKOywPnFHIPzQFlt\nqmoM4GAJPV3La/iQRwohnvcUo3vn4K1DNSXDGHNi8a42qk65QJy7zqMy1iJXdN2MJwiZcjJVlmNU\nkHplrw0eLp/jycdHWKzWUJnC6nIJZ+mAaGFxulxiZ16Ha8stVl2Hd979AKePT7FzY4YiVEQU53AB\nokfPKzgHlMT3v/sh5lcnSLfDbiG+hOKGFpfHdJtsvPXVeZ9afGLOIQ4lg86z1mnNnNxc0ikEUS5U\nkQWSJSGQPFNEJA0VohQqFRkKQ9XHSIHgjIEpAcY2vVDxWm3BOZgMN6TEq6E4S5XB5x8fo+/Wmyos\nImmPVBLOzp7g3v03qFJrSRxNRrQSrvyKd/ft3dnHjdM5TK9x2z3AfH6Od37/u+gbEiOc7E9w784N\nUooI5fxHRyc4O7mAsx57N2ZJQTJewR65aIwxIDjibW0mmsfNs8d1ExxbhonmxDmfDH6s5NE6bjoH\nIigQYb/Gvrvti12Nc8iVRKGoDWQWJEke/vBjGGNx/uwcq8sV6eDvTcjhzVdYX60BUIHidLHEx8tj\nHH98nEJ1JngwdITWqCpIV4ZJPpBu1/GjLWPy4hYT4HMYpScfPMHdt+5u+EQhdIqVihi+RV6R9R6K\nMcAYGMQ4mUFyieXFEj9crFGNK1w+v0A5rnCW0+V5uZTQ1mDRtji/nGN+OsfJoxMIKTDdn2J9tSI1\ngICSYomehWx/lM5lYICI/JZNbsk7Hy72C822wWBuey3mI3Od8lybiyc3JMwh3JwLkNGjhLZK7O4Y\n7ozGFSkPLluYnORUACBTMvVWDVrjahjw7OoSn/zwEU4fn2L31i6qcYWdwykOJxO6kiqiM7+pvAnO\n8YN/8C4G3aGqJpvS/aeGMQOeP3lEsXxotYncsdj6ksiR3qPIVAz9Eys//ow1lq7OCnfcx7njnGNW\nVxgVRWpg5pzDhyQ156QYqbsBPJBAGViS8wCQCgAxR2KsheNBYztwy6y2eP7xEbTZ9FBZtwmlOeeY\nX53AGksyGnGuJLH/meAptMqCMZ3dnIExYOg1+vVdrK7WMJr0tncPdxIBNjrm8aTGoA24YLi1s4Od\nqoLklDpgkcsU1gtbTjquj2AM3m6kepxzdEp8kPR1LjlDHi8C1RROY3M71CYUDwWXXm8uDtgYKg4o\npP7LIvCvSgCv7O2hfZ3UPcxgsHdnD1muqHFZMNQ7NfAqUiV0cbnEySfHYJxj9/Yebu7OUOc5dusa\nklMRRoeikHUOuVKYn83T/XzhsP1sQ7M1XmiUfu9/+lv4N/7SvxW4FuFlt+JfBgbBkKocNsL3LUMR\n5Rwm+xMcPTyCGQyqIH3S9QOeX13hcDKBdQ7zdYNm2UJIjlHQue7WHV3VMq6Th4DbyvgHbwQAmdhc\ng8ywQQ/W2lSxevLBE/zknQ8AbGLx2B+0PcgAc/QGKYmprU0eDqBep+iFIndEMLqhohkVsNYFsiFP\npIqfUM8AACAASURBVNA4Wq1xPJ/j+OMTXD6/gBAc0/0pdg6nuDXdSXSBVdelHF4kiK5XDT766N2t\n9fYQP+XqGuccTk9J6XAcrsSJBL/tO9tS+Bs2WJyzWPlKsi47o5TUjT1bxlgcTibU1hAS57HVyIXk\nNjyJv2Vllm5GBiI1Ql5TZ4jGvt3qy7PGYXW1wtnZEzhrwEPY9mk5XGMNXejQ08USLl7GaR2hjhyp\nGZWE6CxdVlDkmN2YpabneqdO+6sJTPVOa2qMLYtEcymzjJQfgkHiDDCWcqHx9p6Ibrcvekw8rS0+\n0XZlF0C6GTiGcGTUNvk1E/JTFB7Ja71xm6vCVXKcfgvZKymxOx5hHfoZYyElOn0peLrtd9G1eLhs\noHJive/vkcOc1ZvzOATjGG+2yYTA6eNT9H1DN+zgs7nbnzVeaJQePnwHy4slprPxTzV00cMBAEIl\nqg+OQobklraW8kzOYzStUU4qZEHvG9hY/0VLsicyk9cIdEVdoBiVSZnSw8O6zeLE5Hv00DKGkDEH\nsxXa6F7jx999H++++wcAKI8jQq+OZxuuRmzU5YwYrsuuI2O7NelRcmJb/XDQOqkIZiVxYaIy4biu\n0BudNqEICcGiLnDwyiFVM27vUZ5CbW5RBQAdvH7sKfrRjx5jfnUCKRVsyKFZFqRHtyocggtoPeDs\nyRluvnYT/zd77xEjW5aeiX33nutvuIw0L/PZqi7TrCbZJKWhKA5AjohZaTOAtBSgjRYCRjtpKWkl\nLQQtJUDaDgQBArTSkIIMNYMhm667p011d1V3medN2sgMf92xWvznnBvZxWYVumfJAB5emfcyM+Ie\n8//f/xmgt8RwgwrHmQKASOs+Uj0MEcR9S8xbjsODCco0xbppkSUxYhZhUVV4dX2DLIk9tcFo+qzD\nMESSp2hrCryMdg5O13ITGxi+4nCfjVKKhhP2vS8uFj6m2z1PhykBdEDFcYrtdg5jTsA7gcyKxJWz\nVRGSQHYhUa0orSUISYPnaAuldXV0QQHuAOnBa1ICOBKs++XaM0cpcXwlh//QYcugHa60sy6V/XtS\nKThiB2k1o1ubWRmN0FZtxhjAHkaRxXtbIYhbZ+OhUjupAwCN4BY2VabkhZbYAIMkinzcE1VXdPmk\nUYxyTJY9+SDHpCh9Gx7ZAUnLObIk8V87YgwXLy6glUS0I9n5Kq8vPZSE6PDxX32M++/c9QvJ/dqV\naNC0iSoJFgQwYehPfPcBKkUpu9KysFVErQSB3fQ1yKmOQFAWU45XkiXIs9SXp8YYxCyAUBItl7dE\nvk5M62gG7nbSkkDD1fUKZ2dP0XX1rffp2rw0dlSHAGmUeK4TC0NIRZsoSxKPHSitUTWN5041QvhF\nkEYxgiJA13Ean/vbqzfk6qREVqaWhhBblwSOhDHwKEIYaO+hs/uzPv3RU2y2C6RpAcYoiPIX2Y1y\n3mJ1taTKwR3YFjdzn89uaIO7jX0kuj1kb1bX+Px8jnxUQLQC48MxvvHWA4QB0RsaK/YEgJvLBap1\nRc8vT3BzdoPD+wc9F8kesIlrF51Wz97S0tmVhOQyITqB2esZmmYLBDtgsXYCbYYwZFBSQPDOV0bS\nssCVVBCtINBcE6vfVc4uay4IA5SjAgGjSyoIiYmdMYbWCsTzJCGNYpqChYF/LjHrP8eYkc2IC7F0\n43KA3mcUBl55vxvcqRVZ27hKlbLoiP+npfL2QO5391m6KbU2TvBrELO+o1HaoBXcg97u83c0D4fj\n5ra9212jrvuJGSNTt5IwXWdM6C6WIk160N1WZBfPLnzFEX4JDWD39eUmbyzCm6cvKHY5k/7G2JWV\nUB/Z84K0YV5PJewo3LVUCAJ7cylfSoYW7zAGlj8ieiwjIn8dV+24VoNAdYYkhmeS724wmhbSiV1z\n4l1opXDx/ALr1cxXElwqvzml1oC1p9U7QLlQiqwf0E8+pA2XdAm4LuGXhbZNi5mXXVRdR6W5lJ7n\nkdrkYYAYxlkJDEclfb2OKhW3kHdFxQAxi5988jGM1pCSRrc/X8bucpaEaLGcrSiTbNLbs1DJ7lqH\n/u8oo2+1mdK2ypM7e3QwbBsooTC/mOOzmGF/NKSAQqWwqWpsbjZY36yxvFyQlCNmRAOZDvsKJwxR\nNS2lZrDen9qx5SU04jhC13Q2CbjC5flrsvxFj4OxHcdFrRWkklhv5hA2hlwJ6StVySWKYQ5pI6aN\nMYiS2NNDjDaIUzLuc2vQuU4OswxFmiBPbI6a/f5uItnaSslJlpxebJfT1o/9ta/MI8enMsS2ps/A\nVvVcgsUUvOpa304IfzC6/eB0ZwD84eBcLhxB1sWCO/6Qw3mL0QjcT8FpPzh3ANeBODFwmaYYFwU6\nQWkvDvYAiIbgLm/3uVxcPIdLxdXmq/lzA1+FPAmD5fISq6slxoOS+DbGIA57AaHTwDiOdGjxBqHI\ni9rtF1Jv535RKaMhpfaEsiDo1dwAcUac37Ubv7u4aNeWOYGg+5CCgCqoXSY2lxSwWG8anL94g6bd\n3uY0WbzIHXaxHeFK0/fBBsbrxpKIQXbEu1LaIIljhAGgdeT/2SXjuoOZ/qz2LN2NoUlWmqdI4gjD\nIveJs63g6CQJPxO7WV0LwRVNS87OHtNnH0aAMVC6X/y7L200jORYLxbgLffEPwfk96Zgu0RKBsN6\nfprRdKAGQYDR/shbEouOYzVbQUuFoiR8cD1b+QBJ8lYi65CD+wcoSmJf73LKtKHpmF9vtopzmi6l\nNLqWY3W1xPX1GxijEAQMWrlW1bXOvaXNcnmJtmpRDAtIQRWS40TxpA84cI4ELtBRS+3zDQHAWHxS\nKIVxUWCY5SiSxFfrAGEpQK+VC6TdE1HkyZduGKS08fbLroXepWm49egqascpEp1d11zCxEROTCyO\n5Spedzh0gvYIl9JLrNw0b9u1nsDpWuXEakadPMYYIoOubEyW02c60zsWhJ4eVHPuwXM30XWv2WaD\nzWbe7zMvW/m7OUrAV6EEIEBdbzB7PcO9t05sdaP9h7kL2rmpmANFqWrqR89hEMCkxssxBJeQnOxk\n45RyvYx2xMYISUYVkhISOmJorCGVjmI/hoztB+KwCiodLTvYTXKssHFxubCndw8uut7Y/Xkf02xv\nOXcIO31bwmhi5EbAu7fm3mDQLyYLHjq/46ojprGykx0AxGpXmgzT7ANNg14K4sBMoZQHupXWePPZ\na2w2Cw/2Ao6c9sUHHoYRpOS4unqFzWKLw/uHvsr725610yq6aas72B3Y6l5xGiMrU4SrGttlhfXN\nGm3Voa3I2zsb5Ehs8i2LKZHEtxv29zLP/IQTgG2Re90jUShoQHH58soHT94KRzA9gZeeYYjF4hL1\nmgIgKLygl7EoG+hIsVg2463u0GwbxEmE+cUcSRpjtD9CnJHBv2i5t2VJ4xhJEPQ6OtP7y7vq2u2N\n2GKO7uJTULeIt64C3Z247b6UUFCxRmgtVlwIQIveTztizD83Jx/adTQIEPi1tSsBcYOdMAhQc46b\n7dbbogAUwW4MvDLBYUtEf0nsxWG9moBevG7//tmLCzT1GoxZpnv81dJxga/iEmA0mnqNy5dXaP9d\nYQlS7v8Z/Py8h+QK9ECSIMAgDSww3TvsbdFa+wXyguYN9blJnvi45iRLkCZWkW8V8gDdNp0U0MZS\nAwLybXE/j9T04J1NRCclkT+5wOzVFZbLyy9MbJSb5GmFGJHvf90IV7sFaKcTnRS+HA5Z6CtCFpLO\nr5EC66Ylj+O2Q1u3kNaUzLUOQRDYMbkAixm6gcCwyP3N4xwPtTE+i8sYg6bt8PTHzyBERyEGMDC2\nHdh96LvvjzGGi4vnOH96jkffeOSxMG00QtP7TynGvCGY+zwdV8gYmmCRWb3l1gSU/hEyInJKQU6D\nRVl4/6ddX+3dKZHj7vhxvgWR9e5BqMgZoF5VOH31FJzT7X1LZB4Et1tX++wWi0vsHe+RC4X9XBxb\nm7cUq3RzeoPV9QrNuoYQAozRRchihsnRBIO9AUmibMV+OZlheryHk/EEh6MRhlnmD1InstbW/E1Z\nkNyJVp1My1UVrgp1e0zaqe7upuUtR5JTKIWOGGFM9vs4YjHQu7bqHYqBAV3+LAxhJPmnUxunfYsG\nUGu+qRuKaLdYrzPhS/IUJtvRjirVO11qjSzu1+iuVYoyGk9/9BQdb1EUQ99a//y6/EWvr+QS0PEW\n58/PUK0qYDymN6N6/5jdUjxmzD8It9jdCc6F8JVDEEibHy8t27hn9brUEiIzMm+5AcB7DbvpRcM5\n8iTxbcjugemM0wFQ6/byFE2zhdbKuzS6DeDsRN0ExQGWxtBGLZLE99iOUh8GpDM6vZljfbNGOSqg\nlMZqRk4I1bqC6ITnRJXjElppireJmLeDdU6NLivvaH/Pg/d0ALv2CVjNVnj5/GfQSiKOEnDRWtuS\nv/1R0nMgv6EXP3uOb/5734QclASoKk2cLPQTR2fXAZDwsoMg+xFXQSaxdx4VltA4GBaI0xiDvaGX\nJ7iF7ZxClVR+cgTsTP/8IQri6sB4DFJ0AoILzC8WuLp6tfOemG/XaPKosauniuMUq+UVePO1Pgwx\nvD2BrVc1Lp6d4+bmwrojJEjTAqGkjX35/AI3p5RIE4QB4jRGMSxQjgs8nQ5xcO8Qd+8f4mQ8QWEB\n4yJNvE+2o0w4uoAjGQf2EHUHlBPPAvTelel9mKjFtGA84HV8DkdyrV64QzVwXDZugXRjDNYNx6qu\n6XIUCl3T0fpcVZSFqBRg8bWsyDwMECURxodjbFmIuQ3pKAc5jidEV2FBz99rOPeultu2w9OffH6r\nolXyi2LxX/T6Sh7dUnKcnn6O+fkcd48PSO8yIsN2N950SnsAXrHMhUBrDLIkARcCs80GVdeh2tZ0\ngxnjc76CwCnIyVKVdwLFsEAaRd6qAegZ2P7NGgLlyjSlB7zDdRGKaAhSSCyvlrg4pwpjt81pOKeD\nDyQRcdYkQkmQKZbxxE7HT4oshlV3HM9PL/D0w6eYn994rRbFQHfEUbKHTlqkNIJuBbarrU/o4Jwj\nDGkcnWQxzp6e49779+hw2pvs+DpTK3r54gI3N6cILffDp47+Ao+a3dH51dULrK5XODjc8xOSiIUI\ng34C5HRwToLiWjnnUuguI6mJoMg7ARFTteeoHJJLbxGDlkPaZyqFI/UlXnDtvrar3tzlJDgd5rzl\nePXpS6zX1551r7X01Sz9Ox1OHuNkERbLSzSbGuW4RBQz6xGuIK3+Mk5jlJMBtL6DrExRTgYoR4Wd\n+NL6o0mdbdFjBt7RAXl9eoNXn7zG04MxYWXDHMW4xOHBBI8ODjGyoLibRv98deD2i2Ndu3a/s5Y8\nrhXSSqOtWmRlhmbbICsyRBGD5AxKSGRF5jHUMKC8N4BaqYiFtO+kwuX1HOfPLrC+WYO3hANWK8vW\nZqH1S2c2QzCClNKHgZ4+PgVvOdKcIr2KUYnT/RHe/bVHuD+deg96gKouFoY4u5njzZvPEMUplJII\nQ4Y4sZ5NRuPLWrivdCiFYYjl4hKvP32Nt7/xCEejkZ0C9B5GzLZtYQDUXOF6s8HpNdHX44TUyKvr\nFXjDqWXrBAX/WVtS8kimWzgIaAwcsgD5sMBof4Tp/hiDLCPHvbA35I9ZZG1G6MZxWi3HE5FSot1S\nfPJ6c2MXbeyFnG4yRr13jCxGT+Yzjq5PGJcDhAGaUnSS3CFP3jnB9O7UVwnYqQCcP3Q+yLFdbtFs\nSKHtyJzVqoK2FAjBJWavZ4RzVC2K38m8+FNqjU1V49mPn2G9vqFxPQLEUQJreuof+u0NQKb6xpAM\no6u73nzL9KW52yxBECCNIyhNX9eBqM79QRtDQRF23M4b7p9xklH7zawVCUAGb1pq7wzquGvkzNhf\nZJ01SaP3SrbFRmvMXs/w7NmPIW2goce1bGG0KwINgpCIlWGI7XaBq6vXGOwNacNliW8HkzRGMcox\nsGTSYphjsDdEPsiQZBTaqIQiQXJGPDLX+tWbhgYGNSXOSiFps9s2MY1iSCtcdViPMQYKt1tr1+Y5\n6xo32Oik9JgsuYAm1pRQQEYMWqfgTYckJ93nLk3gVtttCOpoOMfyaoXNfONdRctxgcHegBJfRgUm\nhxOMD8cwxmB5tcR2sfVrVHQUmllvqNJazVZYXMzRbBvM37+HR0eHuLu3R9NTTXzElx+/9MaD9IwU\nImdA+BWoAV/BeVKDhQzrzRyfffgxfuuPfgtif9+e9gZhQJuQBLIJWsFxvVnj5dklrl5eYTlbWnGk\nDSfsCLATrfCJpy5OOy1SzyEhy1JGCyqNMb27Tym5eYpyUmL/YIL9wYDG9xbn2h2RummXaAW2ywrV\nsvIHkVsYAFk6VF1nmdmE5zhpgbEAutLS85Ck/dpJxCAUw8HeGAd7Yz9p66RExwWxiu0iAOA9rQeT\nAXjTWXsIhXJcIi1SaCvhMEojLTOM9kfEarZiSgC4fnONz372IXjXWJC7n7j1oQG3Ub4w7FNl83wI\nLbWXcZBXN+mutMGtqdIulkWTF+Y/L2PtbIKwt5nVmiZlUlBVFBpjAyNiBCm8P88ua96ZkCURTfMI\nB5HExrbJq08+fILF4tweSAph2PPRAMCFHLr/H4QMoaF27OzsCY6ObFKu0t6fnZ4HHaDbxRZau3Yl\nRsgCktEMiYWfDwsU1ruJ4qYSb36XpOQa6qaYSRRhkKWQSqHm3H+eu+TdXQqMdO6l9vl0UqLuOl/x\ndDURN7um65OWbZZcwEg6E8WR1+XtDhKEUghspNH9d+5i787EuyJIS5Mgy2q6+AfDgvyT0pgGBPbC\nAUB8M1uxSy7AWwHJJRbnCzw6OvStJABs2w6f/+BzSCmQJPkXAlL/jWBK7sVYhE8++Q6efPh7ePvB\niSde6Z2RpJN7GEPj/JOvHWP/7hT1ukG96UMGnV+L0Rq8pWhnySXFNncCUnQ/Z0gvoJRGtdwiHxbY\n51MKoYxjDBzAuMOLEspWTsqgWlV+yqL1DphoP6Sq61AkCVZNsxPSh1tjVmIo9+bvAGVsjXOGmHF/\nW0eMzNQNDFZ1g1VdY932NhDu+1KbE0MJisN2SS8AhS8OxiWSnHLx3KSkaTs8+cFjvHnzmcVdFIzR\nvnpw/+5ewU5744iKjNEBvrlZg49GcLaqLKT3HIZEzVjVNWabNVazNbarLYVqlhlEJzxHKQhgN/HO\nISMkGtuqxWmMBECQkHDbZd/tlu69N5GNytIWKxH9xO3J5z+8lRfWv2fl16UDUt0BoDXhTJy3uJ6d\nIh8WKEfWbqTpKPE5CDAYl6iWFWkUrd2JEhJKahTDHACtR5EQkTdJYgzLAlncZ/o57/nI8tzSKPLc\nJC8ID/s4bkfrcDw+R59phQAXAg3n2Hat/1n9UIGFEDwC6wQFZ1ryp/s8XXsNwOOibpxfpim6ssS2\na7FtO9RrSxy2a1JLBSEVsiTGoMiRJDGknfgZAwz2Bn7AQX/NeCpLlsQeqFfa4Pnrc7x88pl/VlTF\nsq90GLnXV7PDtVKEul7hL/7PP8U3//CbGNokUMCaV+0wQMd5DkwJvHRZVNebDbaLjacBSCG9zano\nBETHKYRQ0USOFn7grS3SLPF6uWJE051dtqwDtjshyDZUGVTryvfODiA0MAjMjq7Ifg0uxI7GTPtp\nHz3w3lROmT7dI44i5MZ44FtIsvdwBuyTskSZpqhzTkEBCR1OiZD+9qXPjAShYRiiGBU+S87JWowx\nOHtyhu/95bdQVct+QWGHYY8Af1ss8i53KctKZGUG3nIymBsO7WEeemqEVAqLusbicon5+Q22y8qP\nopttg2pJCv0kS1COiz7sMWJgEfPRUMYQQ70cUfudDXO/PvIsRWFxQicxcbmBUlDV3FYtHv/gMa6u\nXqGXzfRtZrhDAdnl+lDiijUFFB0ur15iPDmiitR5USttvcBjTI7G2Nr3FIQB8kHh4YVoJzWnnJS+\nik4j2oxpFHt9G9v55ayfQ4u9xfZgcWuNrGCoguC2unatW9V1qFZ0aDSbBqKlP+cExZ5EbH+uSJFB\nXpRYEzgWEc4L40m/AHpSbxgizuhC5G1/2EspUXeUhquUi0pLoSRlETq6jMMax0XhLxpH1uyEwJMP\nn2A+vyCrEnfoabVjMfNvoFIin2FLVExyfPrpd3Dx4gLHe+Ne2e1vApKe7A0GKKyuBgAmZYn9wQCL\n0Yh8q6VAsyUqgLLaJN5yf1iRZzCV2ElGRvKZzUNLk9hjPm5C5R44t856HRfQUmEz39gIbNfb0g0a\n7hjsu5RSV24TKS32oHYY9PyO3f7fWPwsiWObAeays+iQkqoH3Z0kxwUIhBGV3W6i2LQd8pjsP4Z5\n7jfbtukghQRvOP7mj/8aT59+SF8PLhYqgiPi7XJ1dl9usyolkSQ5BV2GIdarLRmU+UUbEO7ktEsx\nw8G9Q0xP9rG+WZMnkyBWcVu14C2HEpI2tFTWDSBAs2096S+MiMk9Ohh5S4xyUmJ6PMXe0QSjPPcD\nDKU1uG0rRCewvlnj2ZOPwHlrD6DeU8mtN3qmt0fNYUjeW056s1xe4eryBYaTIY37I4qtiqIWiTUc\nZFFEEhzrE5WVmT9Yva5R9QEC9PP2YlpHrXBTNxLl9iTIMKBp4u5/dy0bl9JfZpu2Rb1t/MStWlXU\n9sdkuIedn4cyAOEN+ahaTwGQ7IpLCW6lKe4wSa3ZoErJZ8o5PcRJhGFZ+AgnqYlkmcYxFNO+4qJk\nE4oOy5IYYRD6iC5lNF7PrvH59z5H02w8VcN1B7vQyZe9voKfEvXoxihELEItBRYXC5zPl0gjUkq7\ntoaFzOIDNLEKg14bVNikktzG+tYDjm3bopPCKrqJs+PaOjcuZ3HktW/O5c99OI7fIi02UXOOqiYr\nhrZq0W4bREkEvUNYC4Lw1mLbHw6wqGq0QmCzUym5he79vnfysRreoeo6jExOfbhtIZS9TVz8jQlD\nn/zqp0x2ETmZThgECPMMqWUAu9u0FcIn3/70r3+K73znT8B5gyhKvItfr0O8DR7uTjg8XUNLpHnm\nCalt1WLV1P52j3VE6wgG+4OBb+3SKMLyYIxZMUO12trLhIh1URIR49hVv1IiCAPPw3Jtb7Ou7fSm\nQJzECMMAUvYxW8xWaLylIUhbtVhdr3xSiXsvu/hM//7CW+/b/TnmtHBK4mr2CqPRAdIiJaX7MEdn\nCbWxTflN8hRREvtJExKqQELnH86cWoA2YGR2uTk7EVuAj3x3k1ptKP66TFOPOzoMSVj2dGPXLm+4\nj0yvqhVSScnSQUCEzSAkC5k0J/eDWMY28JUcPpUgTpjDnrpQ0OCBMV/lOda+zAniCEKqfpzkx11w\nWZz4oZJL/nVVoRsCdVJAaQrJePrhU7x+/ekt7A+wqoIdcuiXVUtfeigxFkEpSWBgyJBm5AvEW46L\n1Qon9oOnzRTsjJYDH1fjNndsVcsuESJhDI0QaGPhR8TOelUqesMAUCQUfpdEPXvVadLcgdRwjrbj\nEBajWl+vAVjyXhiQhaxtc7SWCEN68JOitApphk7YBSIETddE773ccA6ulCWA0s/ZWTKoI4cCoP9m\nR9f0QKi3d5UAtEEQ7TBwrf+yI6C1QpA9rhWSLs7n+Fd/8s9RVSuaLlnsZLdPV0p+4SZyiyIMGaQU\naNsKUUTgLWm8YlSr2gO1bvFFIQOLQxR7e1g3DVhIbeggz3B5eYNqWVF77TyeFEV2C07aQkyHHid0\nTpJpnmJyZw+j/RHKcYm8zPz7dV5AXdOh3tSoVxWU0qhXFdara3uwCKI+7JALb+Nn/UHlDy44j/EI\n2+0Sb04/R5qV2Dua+uEJAKsfVITxSZq4KaURschzrbSkoYv73p2QXkYEAJASsPiYE427iwjoR+Vu\nQuyq+k4S1LBpW6xWGytCZ5542nW1B4qDgKpXUj3oPnTBgdthL5Qnn3KDJE/AWAjFQoiADkJiZxOe\nlwbRrTRncqCwXutBaOPH4n5tMJdSomlNcWETXgzenF3hx3/+I1TVElGUWKiktxe6PRX+lT266cH6\nktkYC1prVHWDKs+9/szYJIeac6RRD2460af7ds5sXVkmsmsZnFl7ajdrZCUdzuLE6XXchM1Nwty4\nnDecFveqAm85gZuhe2jukFB+IgXQZEkoaQWKJN7dtC1aIbC19hQuAjkKKUmk4R2ikGFV1z6yeNe9\n0ZECHcblRu+iEwgjOiQdIdTHQdmqSSoyohOdQLXc4l/8b/8vnj//COS5LD1upBQBxO6A2r2Z3HNz\nX7dp1lBKkUc1YwjiwHNxNpuq18Dt+K0PsgzDHQrG/mBAlVORol7V3svZHQRaKatoD5CVDPmAWkWS\no2QY7A0wnAxsmELkgV6AeDWuQuqaDkmWYjlbgYsWSUz4DOESPSnXvV8Ctm/bAIdhBK2lZe7T53tz\nc4osKxFFv+4lJ2FE/KU4o8no7sYOggCRhQ6IIiCB+La7AwAEcex1XYgiQPUGa7f5buR84FQGnZTY\nNDQMadrOBnIa5HmMYUHvGcZASoG6XtGzZDTlLEYFnVIBWcQ4kqW2E+y2ahGEVOExG5Hl9k1jYQr3\nM0ZR4ENSHU3E2SATRsW8zMTBGERF0BamoMHIT//6p3j8+AfgXUPdVUiHO9FvxC0M8MteXw3otm2P\nUgLMgnssIv7JfLvdUZobz5lwtpxE0jN+o7Iw9GREoXr/H7c4HaAWBIFnx9Kfgff+diP/XZFrZ/16\nmm2DetMQZ8ZOjMIw3AHdNACJMHAPhvLRpSJawdAevlXXQVgAskgS36amcYSBzjCvKl9BOWbt7nRO\nauWpDbRobIVj2czu83J5dRFj1utb+c158fwSH330LRhjH65205ZeX0XP54uaN/fsm2aLptmiKIYY\nHYz8ZCyyEdpd02GdkHyj1KlvhwHSV5FsgNrdLI7RpTEwLhCGAZI0ptFxy5G0lG8XBIEX4aZ5ChYz\nZGVGRFgblKiNQSeE/z7b5Ra15W9pRa4C8xnZ/GrT6/SMoWcdBL2H1S5psqdHxJBCw9iN4DynqW/V\ngwAAIABJREFUrq5eIU0Liy31LbALJ2CMQUmNOP3i5tmtSqgaCj1NxE3VpFKoLIub2mJrPhhqGEWb\nvBOkp1xst6g5R9N2xAmyYPVoNMC0JA1lXowgJfGFmmYNXPfeUpJLaKmhC+0/d3JGcJU0TbldnhtC\nG+awA0k4V4ZWCN/WufVLWXY7SUVawzhOmez92lsh8OKTV/jen/0FNps5oigGlIZSNrxA9UEgrnr9\nstdX4ik5Gr9zPQSId6OEBOcC8y2Z5AvblrmTWOn+MHKqb6fB+fkHDsDfnrsJtwDZ4bv2ypgdbZQm\n0y5n6ckb7nEYp8mKE0pLVFJbAp4z2HLPig5JY/t9GcB65YSoOQdUb9yexrG1p4gtJ0tQRVU3ni8i\npUJib1QlqO3dxUCgaXE2nPs0liJNEIUM66ZBs23QbGooqVFOSnRdTTeXkgh2FsmuPw3hZDshoTsb\nqm2JnzWZHGF8MEYYBohtFDSz+Fpbt95VIbdcMy4l0ji6JfZ07Z2ODBFf0xiyE4RpMMI0XEUKwB+A\nWZnZoAEDpanSFFzAKE2pLYutleNQ+xTFES4unlk3U8Iz6X1p38LuAty3SIkWfEYQQmu+Q41gkJLj\nzZvPkMQpguBtFKPesSIIA4Q58Xa01ghVAB1ajEppCrC0lbOrbo0x9qKkbqDp+gFHGkVgSWyrQuVz\n0OqOKvF1VVuw2vL8wgC5NTJ0w46iGKJtXSKLRNNuoG8UBKfpreQCUhRI8gSxdZAk4Dqmiryz+yeJ\nPA2CDN20h0CMIWmLuyh2/duFpdg4Sx73vt1lLaTExdkM3/6TbxNVxQLajqahjPKH0e6a/JXTTNwD\ndb+Htpd2Ru8hC9F2/JbyPI9jCDcd2fkBHAvaeRhLpb2q2cVaK0XTsl0DrCCA3zROaCiVQmcxJN7Q\n5K7e1OAtRz7IPYDJUppMSCltEKVNqHVtU0AM5sC2jA23hvcW/6o5R2XLbTftOxgMCDSMIw+Cu5dn\nF5uAGLhWe+XSP4wha1fD4OO4WRBi27ZorDi5rVqwOMLh/QM4GgNjMbTkXkysgZ3pW/ALI7s5bwBj\nMBrtYzApfZpHbH9pY1BvqUrZ2hYyAI2ynQ2HMyQLgsBbdziLPBccGTJiTcdZTCRFG1DoY5PsraqV\ntaG17o/NtrUVkqWAMAoWdY4APy+fIRC/x3PU7gVn7MUne+2YO9Dc4bVaXuH65hRByHAg7wI707ww\nDJCVmU1iCcDi/v0BvSDbRWizgCxuWGDgUmldheRaHIe7dBZDqrqO8DdLlg00tWVxGWM6HGBcFN79\nMR9k9L2UBKIESktw3kLcdOiaIYphCcGln0y7kE0lqFWHJtKy5MIPjBhj9Pkkfap1H5Cp+59dayje\noeF0yTsnyzAAWi4gpMT1ao3v/38/wE9+8ucQorNts0YY3q4ywyCECczOs/widWX39eVAd8isbaeG\n4C2RJRMqT9OcWo8uFBTDYmOKTZ57kLsTfRy1VAoN72jyYacQXDozLuUnBu6BScYgIpKSxKzHariU\nEJxY4a7V4Q2F6CVpjNxyZ+LMptG25MXsMJMgDG9hEklE401l+SXuoHHBkcQhIWMrAsq1D2gcF4Wv\n4lohoMK+EtwdXRtDhnVa0kHkwPsyTbGsawipwJsO28Wmx00YA2MxqmqFokh+riroWwoaRPRTuN0/\n50zRsmzoJ299+EM/SaksDrdlAQZpdssJ0pf6trILA8KkjB0pS1jBK+l86OALAh9jpZSC4baNVb3e\nq2vIQcFHZ6cEkLZVByG4ZQVHO59hL2jFThsQRbGtnqgA1roH/h2uZLRGVa8QRQmUktabSYOxR7e+\ntmd2h2THy1QIJUnPuAzqW5dTGOhbtBSHoYZhiIZ33g5k1dR+ImaUpqmZlVRJoZDFEcZlgX172UW+\nG0mQ5gpd47ZyjChK0DQb1PUaUnLwpkM5GZAhXRJbz/EEGUhYyzuBJI0RCtKBOrKrc/10YnYH0jvP\nDQeleL/wJLAAvvLkz8+/9zn+5l/9P2iajS9Wdl/GJtsE7KsTJ4GvUintfKO62VBPntPidq2Mt9io\nWyhDSbHHkwmZsZnbYt0oZKh05+0TjDV1dxE6RmsI0xthxVkMrjnyIoNPf1DEZm02FDJAZSyN2vMh\nESujJLItZq8mV1YXZXTg/biNMf7G0KYPi+xsoAALQ+TWdL3jtMGvV2tEUYRhkWGQZp5o6YiT5Ptk\nha0s6IWoEYMK1S1pQicllhvSGm3mG2htkOa9xUYYhuCcEkvocfQgLwBPolO/wBrClcphGPoYbndo\nJXYTTYrCExbrDVUAqc2Zc+6ILAwR2FLetc/09a3ro6SJEO+MtysJtLF4LFEAGAu9HS1vifLg6APk\nLkpfbzNf+4hnxiII0fUVqA0ncO/SAd0OG6IDrGd5O/qEVAJdV2M0OvCt3GJxYafLx165DwD5kKa1\nTDLIUCEIBGTSg9xpEiND77HuvK7cxdtZztGmabDd1HZdGyKYxgxpFvnMRBNRBPh0MPC8MXd5pkVq\n2fraY5JxHMOYAbSWkFJgs1mCc462IqcGRywWnUA+yLz2krm4MxsSSpWq8mJphyc5fytjDBL7d53J\nmzZkPySkxLPPXuFbf/ynWCwuPByyuzZ3aSlC9HKrr/L6CrHddDt2XY263mA0OkBmpwMRY8gTkkPE\nUYRrY1CtarQR9at3xmOkcQQXgaR0aEfsJa43G5ggQGyzzFnEYAQ9DrfIg5gilt2hp5WCUv1kan2z\n9hs+TiKkjmBZEMDKGPOkNzeN8aP6nWrGHZokymUYZARkZzb6iSuFtOtwrTcACCvqmg7VuqIpU5p4\nhwF6fzQ25kIijhhYEkLI/mCq2w7buiF6vz1c1zdrJBlxebSig7fe1Gia7U515A4UakOjKLa+SrH3\nY/7i8zN+EyrRL0C3ySOLoamBxsIY1KsaG1QIJ8NbNsO7vDOH69FlQFWuI0w6a5OQMXIatQdUEjFP\nCtTK2M+vpotklFNopPXlXl2vvdVFFCUIAmoWyc1A+SHF7sthSbsGfo4FbmwLZIxBUQwRxwmkFOC8\nxWz2Gpy36Jpj7FsvcBqGlIiS2H8tLRWEIRB+9yLbjRZrWvLQWmwpPtxJVpgdKoQRYZzOkN95fU8K\niqdyZGQfsWQFwUoqdKbzKgfGIqRpiq7rIESHrq28LbLkU8Qp8a1Ex5EPC2Rl5tvTZk36vUhH3rc+\nihnKQeEvKdeCTooSYRB4jOtqvSZDuPUG3/6Tb+P58x/7tak0mT+GQYg4ySAFDcV2OYFuPX7ZK/i7\n/lAQBF/+Ff7+9fevv3/9/euXeBlj/tab9Esrpf/5n//flrmraHJjuRvGUH68M11PrO+RIw42lqsU\n2LLQka9cSgWZj0uM8txTBZwFCZcKwyzDuMixqhtczBeklrZj/yDoMQyl+jJRCWlTUTXp6qS6xSSV\nXEJ0xJgNGcN/+Z/+R/hn//LPrFg1pLBCS3eg/vu2T1Gy834cBpHvREy5W9PRBISV0GRp4nEoFoSe\nhAn0/lBV01quirYVDWFKkktfhRhD/lMOSCb9YK8z28ypkouzGHES4b/+p/8x/qf/4/+CyzJzhEFm\ngf2QEe3CkVJ31d4Oe8rspNHZnwopsW4bTIpyx1jvdtKuw9hu1hsvGnVG/dSCUVqxU+zr3fZdaXqP\nDkfS2oq4O8/yV1KjXlf47/+r/wz/y59/i94TY0hsteoiqt26isKwT0I2tD6ciNap9g0MWi7QWNa+\nVMqTWl3lEDMSSLvKWiqFumn983CgOIHL0odVOCKse29aKaR5imbb4vz5OY4eHkFb+ZGWxPf6b/7z\n/wT/w//+xzTEiCOv6HdcMLup/dpTQkHYeCunQVRS+XXsnrkD8p3Dq9bkSx4ggLA2LHESIU4TbOZr\nmmi3VGV3TUewiOW7Ga3pd9vFSFvJue8dBBQSEsWMqCfzjadf/I//3X/xC8+cL08zsdMTBeXxA6fo\ndyLGIMAtf18Hjimtb/F13AfJGPPTO7eB8ySB1AqbukWzbdCWJBqttw3qNTkMdDVNLljE/GEYWr6J\n8QAqlan0QVHp7h4kuRBw+756jMCXl7q37QzDEFoZAD3IKlz7YRcYANR2IbnvG7DQ41ju37kkkSkx\nZ+nQEtY/Kc6olK+WlEGmlfETSJLIaI8bGQMPlHocx760UoizGJJLf/gAvWAXgCWzhf7iUNLA2Z/4\nDWuxJgdwezsWKSgVOezN2rzHkiUJdm5QoWM/lHCyIYcFIoJfrLB/xl0c1Ga7/7bD2A5pOGGMAYsi\nBIFCaGknVg1q/7F3bRQ7Vh5+XXr8zeJszsDOWrg4Nn7f/hHs6/EfQ1FFSmokdvIqubzVljoB+Rc6\nkJ0LlD4j+j0rMiRpDOExs8BbhtgfYscxI0QYWGKuTVvh1mNcCTLdc9/WTTfdZDQtUk8jcDjT7ssY\nQ2oIi/NpvcHyksTfzmqHMhljawbH/CUO0Dmxu+a0LT6846d9f8Uw98OOX/T60kNJSW2ZpES1pze6\nY8Qu+1vAKf5JfQzPTKYPy9DfiyNvLZoWKbqGAE1Vkgyj2ZJfcLOp0bUczbqB4DRCpvBAQSd7GCLJ\nYvrZlAKLIuSDHEHYG6t5wiIzdtRMoHOSw5uQ9QTEHc8Xt0ktwOhywySXHlT3HBPAG7S5Ebg7UJKU\ndEkqUz7uJ2AheMO9YT05MkpsF4QduYUWhqG/sdxC300EdgeJI84FKkBsXR8RBP7QdS9tb66Q/G7J\nx9n+fRnuOHYKBW0N0STvN7YbK5fDgoYMnKO1cT+kfFdenOswjI3lHynRk/qiOPLvB+gP2VsbRGt/\n6/qqQJPZXhAGCMH8JqBqyLHcNbS9JOl/wruP1rCJvz93gYhW3AJ/Q+tT5Ox/XaXkosKabQvJBVrW\nhw9ITtY6VBVEHkNyGJf7nv6StPsmCMkiWUlyXdBK2XVqo80DAKaPajfMeEfOel2jXlfkY7VLgXBV\ntJX+OEw1ThPwKfeYK6U2U9XiqqzWEo+V1QUur5ZEp7FaUocZEl2C1rlWVGkV4xKxvQxju7eUlPb9\nWDK0/e+7QbN/2+srHErKfzPahLYKkQpccG+BQJObxqr9BZWwUnnph3sjaZZ446x8kFFYgNX6tFWL\nal178mDX0ERKWEvVarml0XoY3Np4YRggG+boGkpFcUbvbsO6UlNKAo+jmGE4Hdm/2zPG6T3aUlgT\n3cB5PIuW3kdnOVGSC3+r84ZbZTo9ZOdWmJUUBx2n5PVsFPGxREu+RG1NpX/XknsjgN5SIgx7X6I0\nhpIa+SBDWqRIi/QWAOuqRTeWjZM+kXQX/A20htYhAANtb3jXRvGW+58vSiI0a/r5Qiu9oIUco7ai\n2hXsDVqk/kCo1zVxrJZbiFagXpNDpVsfAHxqjbOoNUoTEdMu9nAn7nt3YzdbSk6miyfwMUhaU3iF\ne9YMDMb+u3s/SlBijhT2n+1UUyuFZtsiCGj8DgDD6dCuodhfboILQBt0LUe77f2xNostXVbu61sL\n2TiJfLsUWZtZZttHo0n0HMI6b2TU2idpjK6l6jfeqXTdYeY0cKIVNKxgZLE8nI5oyuymaLZgyAcE\nTl++vMTZkzO0VYvF1QKr6xUJky2p2K1/55XlOGPK7hXeEpjOeQPGYiQxuUwkSQKEZIjXAN6ILhvk\n3sHAFSKuGwkjauPGB+Nf7VDSSt26nbUyCALikjTbBlprbBdbbBdbr+6+Oj3HbPYKYcgwGOzh+N5D\nH/sLTbjIcrZEmqc4fvsY+ZAM9wWX2Mw3qNcVeCvsomkgO2EFmw2EaL3SHgDKYZ9D5kp5xkh7RdOO\n2ONfFLfTod5EGIvbAlaHCQDwByvvBFWHSmE5W6He1LTZNvWtQADRCe/AGMUR0iK1fuMleCtQjAqy\nzLD5Ys6XqNk20EqhrTpsl1salTfclvZ2w8X0XginGNBB3wlyR3QtqCIJACXDdLYK2KEN2KoKgg5c\nV8nyhhNPyOIG7rCNkhj1pvbOhyxiyEoyeuvqzpfvLI58S+LK/u1y68MRtout/cxpMzPruxSGxAXS\nWiOKGMrJwBIAMzpgbVR3YLlOWiqftluOSoRR6J+/e7n16Z6b0+VpZYglb1n/7v/D4nPOK4pY6eQZ\nRcZ7MdIi9XYnUljKxLryMEK1rLxhYVd33t0CIJNDY0gUW45Kb7XrqtMIVFEpJRBFkadr7O7I7bLy\nTHkK2YgRZ7Fv24lvRweLUALNpvHPjUUMUpC98umzV2gampwXg9LqElPikWnjuX7VukLTbKEUCbg5\nb5GmBUajfeTZEMyKdZWSEIJE0sWwoCCGdYNm24IttghCat/SIkU5KjGcDulS3tIh5XytfulDiW4X\nAq7cA9Rao16RZ6/Rxt6oIe68dYT3/8F7ePTOPTyY7qPmHJerFTabypuGsTjC0cMj3HtwhCxOsKpr\nnL24wMXzC7RVi818421HOOeo65XlZ2SeiwLQeNid9KP9kZeXGKXR2OosTmPCr5LIH4pK0EHnbm7H\njTGawDoEAepVheOvneDdkzvYth1enV9hbUMXecuxvln7kpw+I46ONzBGe7JiHCVIsxJpmmKwNyRg\n0Xo/i5Z7n2elNIRoIQSn0bW+rQdkLAZvO0QR3cDCAt9JGiMfEmcsiiMgoFu/2TboWo5yVPYHksOg\nLJ2iqzsEYYDF5QLz87llxFO57w5lRzvIigxREoE3nceSuiZGPsiQDXK/yetVTSr/de03ab2uqZrq\nOgjJPXclDBmSJENW5ECRettgZ/TnqinAILCVgmgFuKHnWo5LGOb4V33lrpT21h+DvaH3z15dr/ya\nqta1HyZoTZ+HbzvSGOxy6aulYligGOUeIqB8uF44XK/ogJJSQYjWf95BECCOyeR/enffVyBJThV0\nGAZQ9hCtlhUGewNvkhfowLdjq9kSSZYQVWSYk9VwGNr4ceUvg2pdY3299hVp13SeFxWyEHfffoCL\nl6fQmhKC906mKIYFHUx2gOQ8rJxL63axxWCPLgtpIRkHJYiOvKecpXA5KS0ea/whzq2392a+Qdd0\nGO2PILm0GYC9weEvdSiJTmAj1qg3dNs4oDrO6OR2bUKUREgyKvEvzq/x6vm5p+dLLrFdUpTz7PUM\nrz55hWfHUxTjgiqaMEQ+yAlAjxk5Iy6u0HUNRqN9TPant0r6YlhgcjTuN2UU+U3PG47FxQLNtvEb\nbH2zRtd0VHEYY2884r5obby0Q1pwVCmN1fUKn9mF2FUtxkcTpGWG1dUSYRh4r3HCmGJEXWKZ1RLz\n+QW22wUODx+AxaWdmgmgIx4XbzlWqxnatoJWEttqhUE5RhSniKIEcZyAsRhRFCGK6LaOkwj5qABj\nzHudA9Tq0oaiuGnHbB9MSNTpLhPXZjpzNmOMdzY8fHBIh4itAAF4kzYWM+TDHGmeImQhmm2LNKdp\nn5P3dDVVRcvZkhwaOmFxig7a0O/CSmQYi5AkOaIo9uBrMaJfAFCv7U0fMx8m4Ta7cxLIh7kHul3r\nKrj0GOI7908QBAFeXs3AliR/0VJZSw/twWl3mLRtBSUFhORo6jUOjx4hTakVSfLEH+S85ajrNZzV\nrnMuSOIULKILkJ4bGbMZO1hoqxaiI1+jbJgjzRLfrlbLLeXMHU7osJL9AKMYldjMN8gGFOTpvOy1\nUhgfTsgHyU7TAKDZNpYjFkK0ruKmdv7krfswmjR8g7GrXmK/p2JnzzwpoZVBe9h6ux8pFMZJRL7x\nWewxVXt7+hTrZlOjXjeWAJwiSWNsFltESYTF5QJKKAz2Bn4w8EsfSovLxS1wuhjmCFjoQVrnKLhd\nbb0ocPZ85q1vjenTPZwSvKs7DKdDDCcDDKdDhBHzDNTc2qayiCoclwMXsBCj6RBaG0xPpnj4wUOw\nmPke25fv1h1xfjYnANJiHkZpIlt2hAU5m9x6XWN1vUIUUzXFIgbR0SGlpUI2yDE+mmBYFhBS4vLN\nDMvLJdq69e+FgG7hwxqHkwk2yyXG+1O889vvYHw49mmx1bpCV7V489kbrOcbaKVxdf4G+4cnfuzL\n7OedZglyy9ANGVnlplmCruWYn8/p4dpJR5zGaGYNgZWrGqN9wsxWs6WdphAg6vr9rEyRDzIMp0P8\nk//gj6CMweVqhfl8RZQOC+DyhgNhgPnZHDdnNzQyTmOks9RPQHnLwVuB1fUC680NOG+psrOHbMgi\npCxCkmTIy8JLSlL7bNqd1sox9OOUdHRJlmAwKRHF5Jddb2qUk9ITeN2hKIX0CctvbubQmuKJhvvk\njlCvaywuFhgfjP0zo6mVhLFBCPWmxtUFdQNv/ebbGO2PUIwLaKlta7rB6eMz24JXUFqiKAbkp54R\nYTdO6IJM8xRBGGAwGSLJEzTbhipstQt0B7biquk9ZxRw4LTWaZHSoRUxItlauOTee/ewtz9G3bQo\ni5wE5VZrmKQx0iKz5EnhK9kiK1BOSjQbwv3SIkVlMUB3aRlri6KVRmpSS2nQKMcFRgdjDG3lFISh\n7xR2p9zyYIzlbInVbGWnboHFVsmtY3W1RBiFqDfNr3Yo8ZZjejzFwf0DrK/XnjPDW479kykePToB\nVwphFOLrbz/AvekUf/nRz3D29Mwn0zpnQiU1Tt65C6UUjfm1ofKu7dX9lb1pD+4dgEV0MyupMD4c\nY3I4geg4vv677+N3Hr2Fzy/O8eLqjY/FcSf+cDJAV7UERCqqsMrJ0LcULGJobSU1ezOzB0bkHf7c\nrZsfjDGZjpBGEd46PPDK/M62fqENKZTcavFslTHaH+HoIVUfxahAOSohOmqRnLYqs1Wb1gZZ8Q4l\nuRhaiPt3932FQJFFDCGzf8/242EYYnm1IHFvZDA5nCDJEly9uqI4HPszAvBaLmMIX8nKDIcPDj3+\ncLpYIItjvH52isXlEkoqX7GIjqqrqzcX2KznePju+9i/u4/hdEjq/4jZgYDA6ZME6iWpxMm7KEFW\n0LQnKzPce+8ehtOh51MlWUK6LIundE2H6zfX2K620FITTyZNLJgf+nbFVUQAML+YA9ogG1A1x1uO\n2esZ8kGO8eEIZZpiWg5Qc443owLLq6VPmmltW+Wq8MnRBHce3cFqtsL0ZIqjh0cIwsDz38pJ6YF7\nV4lkJR1Aw+nI8/ecW2UURShGuZfQnD+7oHQfAHES+wPAtZV7eWJbZWpn4zT2fCJuW/69owke3LsD\nrTU26wp5HON4MsHNYmUvH2s9UmYWPOd+UFEMC0RxBCkkJnf2cPn8AlcvL1GvG7CYYe/OntfHJVkC\n0XGEYYDx4QRJGsMYeH2iswRiMfNpRXEKH0tPmB4VF0mWYDgdYrugiDHJ/+5gyi89lCaHFF88mQyx\nuFx4NX5WZBgdkk93bb24D4ZD3J1MoLXG9Zvr/uHYMWkUkzZtOB3i7MkZtsstDh8cIowY3nz6GpvF\nFsO9AcpRiWKUI0piCMuJitMY65s1wijE0WiELI4pmcFWX17OkJGNA8kdGOFhdhw/mJTeX3q7pEpJ\ntAJHD48opcOWxm3VYrg3wHR/7HVN03JAN5zRvh10Y2tyV0y82LEcFciHBW7OKGdufbPG2dOzXkhq\nJzfOCI1FIVmdBgG+9s238bVH9/D0+RtcvZqBN5yoAVniSYZJTtVDva5QrcncLmQBhtOhv/nc62u/\n9Q5efPzCA59RzLB/dx+PHp3g1asLZEWGg+EQh8MhHn/2EvW68g4Krv0OGcPByR0kCU1Wjt8+Rj7I\nEFtSaJqTRuvmfI7J/hRJdgLBBVjEMD2ZIk5iTO5M8Lv/8JtIowjf/c5HWFwu/M+YAIgLqlQdj0wp\nhdVsBWZDILWkvDYH5pdjwszabYNiVPqf1bWoJ28fY1wUMMbg0cEB5lWFZ89P6TNb1X4ylA1yWiOK\nhKyTowkB+haoX9+s6TKxo3Nlp5M0vKD2cjgd4ujhEZZXSywuFn4QkxapBX0NdQbTIQ05VpWHIcaH\nY9J7dgLKA9j0uRTDAs2GMDpn07t3MkUSMVyuKmzmGzw8OcKD6RSPLy5wc3btx8hZmRHJMQz9Jcii\n0EeRv/fuQ1y/ucb12TVWqxnefv/XcPTwCNvFhlpL+3OXE5KprG/WeHAyxaOTI7yeXWM1I+M5553l\npo75qECxLmwgK0EFGJcYjEtM7kxw9eLy1oX5Sx1Kwyllga9WW1y/ucb+vX3whuPk7RPESYzT6xsY\npVEMC7y6ucGyrvHy4xd+Y2wXW4RhgNSWffkgRz7I8egbD8E7geHeAKePT/GzH/4IWiv8W3/w+0jz\nFF3d+YPF8TK6usPkaIzXFzO8PLvC6eenWM6WiGKGYlR6AW4b0GlMQF+AbJCjrTpMT/ZRbqkt29r2\nzT28VUMP3ZEzh9MRWBhi1RBPalnXkFrj5myOyv4sxHvRPuwQANI8wWh/hCiJsX93HydvH2N2eo0P\n/+LbCEKGJE5RDia4//597B3vIc0TNNuWUoFbjt/7zQ9wdzLB1XqN15+9geACMolpEhgRnkRCTTJ+\njy3DFkHgx8S75MNxnmN5ucD4cAzeCQz2hhjuDXC9IlCzGBaQSuFqvcZ2scH16Y1/9kFArowxCzGc\nDnH44BCvP31NNI2O+/wvoI/CHh+MkdpFnJUZynFJ4DeX3qE0CMjyhjcczaa2anhLdXC3rz0UJZeY\nnkyxuFggThOsb9bYriqMD2msXIxKxJZkyi1tYzgd4mg0wsVqBd502P/gA8LU2g6bxRaz1zM6bMMQ\n5bjwibmDSYnxwRiiFdi/tw8A+OQ7n6Bab5EkCbJBjv27U+wdTv1BHMURHr3/AL/3zjv4cPACzaah\nCWSgsV1sUK0qpEUK3pKveZLF4G3sW9c0J9pIGNLlBtnz7CgHERCSDuXhEQHwZzcLLC8XUFJh07ZY\n1jVuLigFNx/knhxbjAu/vt1LCQpA/eyzF7h+cw3OWyQJ8cq6prs17BAdh9E5FhdzzC8W+Hf+8Lfx\n9ZMTXKxWWF3T4CdKaCIYRRFVjUVK3vqW6e00gINJidF0iNXVEpvl9lc7lChVVOLsySkYuna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XrziQLx3d0dqrzC3ume89eKOvQ71bVhQiS5EURxiCAOEfPeCzt0iE3fE11g73TfXZLiYSUeTr1x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FIK4OAkf2dMBmsnTNOIeT7B2hFdd8amuUH1skO1q1CuC8JQmRjHxyPyVYEkI3ebgYchfRJD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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f215e3ac710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(5, 5, figsize=(5, 5))\n",
    "fig.subplots_adjust(hspace=0, wspace=0)\n",
    "\n",
    "# Get some face data from scikit-learn\n",
    "from sklearn.datasets import fetch_olivetti_faces\n",
    "faces = fetch_olivetti_faces().images\n",
    "\n",
    "for i in range(5):\n",
    "    for j in range(5):\n",
    "        ax[i, j].xaxis.set_major_locator(plt.NullLocator())\n",
    "        ax[i, j].yaxis.set_major_locator(plt.NullLocator())\n",
    "        ax[i, j].imshow(faces[10 * i + j], cmap=\"bone\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that each image has its own axes, and we've set the locators to null because the tick values (pixel number in this case) do not convey relevant information for this particular visualization."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reducing or Increasing the Number of Ticks\n",
    "\n",
    "One common problem with the default settings is that smaller subplots can end up with crowded labels.\n",
    "We can see this in the plot grid shown here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9kU7/57/Yg/nbZh7XNpe/yefJvoTSzMymVKNOXtKMpMP1FH87+izTkbRP0iFJL5RtppmZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f215e4544e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 4, sharex=True, sharey=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Particularly for the x ticks, the numbers nearly overlap and make them quite difficult to decipher.\n",
    "We can fix this with the ``plt.MaxNLocator()``, which allows us to specify the maximum number of ticks that will be displayed.\n",
    "Given this maximum number, Matplotlib will use internal logic to choose the particular tick locations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f215e4544e0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# For every axis, set the x and y major locator\n",
    "for axi in ax.flat:\n",
    "    axi.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "    axi.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This makes things much cleaner. If you want even more control over the locations of regularly-spaced ticks, you might also use ``plt.MultipleLocator``, which we'll discuss in the following section."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fancy Tick Formats\n",
    "\n",
    "Matplotlib's default tick formatting can leave a lot to be desired: it works well as a broad default, but sometimes you'd like do do something more.\n",
    "Consider this plot of a sine and a cosine:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OHYGLFwv/XIoW719/Bd57zzD2uFEjMY60QgUloxLeev0t7BqyC6XtRZYfvngI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\nyOQxeDCMLipJTQVGjAA+/dS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k8uLNGOvCGLvGGLvJGJtk6tczJ4wxb8bYQcbYZcbYJcbY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\nhqh4E0KIGaLiTQghZuj/AwMsvgyjt/BUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21516a5fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a sine and cosine curve\n",
    "fig, ax = plt.subplots()\n",
    "x = np.linspace(0, 3 * np.pi, 1000)\n",
    "ax.plot(x, np.sin(x), lw=3, label='Sine')\n",
    "ax.plot(x, np.cos(x), lw=3, label='Cosine')\n",
    "\n",
    "# Set up grid, legend, and limits\n",
    "ax.grid(True)\n",
    "ax.legend(frameon=False)\n",
    "ax.axis('equal')\n",
    "ax.set_xlim(0, 3 * np.pi);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are a couple changes we might like to make. First, it's more natural for this data to space the ticks and grid lines in multiples of $\\pi$. We can do this by setting a ``MultipleLocator``, which locates ticks at a multiple of the number you provide. For good measure, we'll add both major and minor ticks in multiples of $\\pi/4$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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clegB6pWrx8JBC6kcXBmAuMQ4en7Xk8lbJ2d5H2/aN7t3h19/TRte4uhRaNsW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21516a5fd0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.xaxis.set_major_locator(plt.MultipleLocator(np.pi / 2))\n",
    "ax.xaxis.set_minor_locator(plt.MultipleLocator(np.pi / 4))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But now these tick labels look a little bit silly: we can see that they are multiples of $\\pi$, but the decimal representation does not immediately convey this.\n",
    "To fix this, we can change the tick formatter. There's no built-in formatter for what we want to do, so we'll instead use ``plt.FuncFormatter``, which accepts a user-defined function giving fine-grained control over the tick outputs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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duwJbtxqHYLh/H2jTBjh/XtnXUTWxL14MfPCBsW917dqyn2zJkmq2Snqn0jvY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\nieEnDCNDAsDMQzPRdXVXxCb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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21516a5fd0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def format_func(value, tick_number):\n",
    "    # find number of multiples of pi/2\n",
    "    N = int(np.round(2 * value / np.pi))\n",
    "    if N == 0:\n",
    "        return \"0\"\n",
    "    elif N == 1:\n",
    "        return r\"$\\pi/2$\"\n",
    "    elif N == 2:\n",
    "        return r\"$\\pi$\"\n",
    "    elif N % 2 > 0:\n",
    "        return r\"${0}\\pi/2$\".format(N)\n",
    "    else:\n",
    "        return r\"${0}\\pi$\".format(N // 2)\n",
    "\n",
    "ax.xaxis.set_major_formatter(plt.FuncFormatter(format_func))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is much better! Notice that we've made use of Matplotlib's LaTeX support, specified by enclosing the string within dollar signs. This is very convenient for display of mathematical symbols and formulae: in this case, ``\"$\\pi$\"`` is rendered as the Greek character $\\pi$.\n",
    "\n",
    "The ``plt.FuncFormatter()`` offers extremely fine-grained control over the appearance of your plot ticks, and comes in very handy when preparing plots for presentation or publication."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary of Formatters and Locators\n",
    "\n",
    "We've mentioned a couple of the available formatters and locators.\n",
    "We'll conclude this section by briefly listing all the built-in locator and formatter options. For more information on any of these, refer to the docstrings or to the Matplotlib online documentaion.\n",
    "Each of the following is available in the ``plt`` namespace:\n",
    "\n",
    "Locator class        | Description\n",
    "---------------------|-------------\n",
    "``NullLocator``      | No ticks\n",
    "``FixedLocator``     | Tick locations are fixed\n",
    "``IndexLocator``     | Locator for index plots (e.g., where x = range(len(y)))\n",
    "``LinearLocator``    | Evenly spaced ticks from min to max\n",
    "``LogLocator``       | Logarithmically ticks from min to max\n",
    "``MultipleLocator``  | Ticks and range are a multiple of base\n",
    "``MaxNLocator``      | Finds up to a max number of ticks at nice locations\n",
    "``AutoLocator``      | (Default.) MaxNLocator with simple defaults.\n",
    "``AutoMinorLocator`` | Locator for minor ticks\n",
    "\n",
    "Formatter Class       | Description\n",
    "----------------------|---------------\n",
    "``NullFormatter``     | No labels on the ticks\n",
    "``IndexFormatter``    | Set the strings from a list of labels\n",
    "``FixedFormatter``    | Set the strings manually for the labels\n",
    "``FuncFormatter``     | User-defined function sets the labels\n",
    "``FormatStrFormatter``| Use a format string for each value\n",
    "``ScalarFormatter``   | (Default.) Formatter for scalar values\n",
    "``LogFormatter``      | Default formatter for log axes\n",
    "\n",
    "We'll see further examples of these through the remainder of the book."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Text and Annotation](04.09-Text-and-Annotation.ipynb) | [Contents](Index.ipynb) | [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) >"
   ]
  }
 ],
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